0.03/0.10 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.11 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s 0.10/0.31 % Computer : n024.cluster.edu 0.10/0.31 % Model : x86_64 x86_64 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.31 % Memory : 8042.1875MB 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64 0.10/0.31 % CPULimit : 960 0.10/0.31 % WCLimit : 120 0.10/0.31 % DateTime : Tue Aug 9 05:43:07 EDT 2022 0.10/0.31 % CPUTime : 0.10/0.32 0.10/0.32 No.of.Axioms: 0 0.10/0.32 0.10/0.32 Length.of.Defs: 5293 0.10/0.32 0.10/0.32 Contains.Choice.Funs: false 0.10/0.32 (rf:0,axioms:0,ps:3,u:6,ude:false,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:2,loop_count:0,foatp_calls:0,translation:fof_full).. 0.47/0.68 0.47/0.68 ******************************** 0.47/0.68 * All subproblems solved! * 0.47/0.68 ******************************** 0.47/0.68 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:0,ps:3,u:6,ude:false,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:50,loop_count:0,foatp_calls:2,translation:fof_full) 0.47/0.68 0.47/0.68 %**** Beginning of derivation protocol **** 0.47/0.68 % SZS output start CNFRefutation 0.47/0.68 thf(tp_mu,type,(mu: $tType)). 0.47/0.68 thf(tp_mand,type,(mand: (($i>$o)>(($i>$o)>($i>$o))))). 0.47/0.68 thf(tp_mbox,type,(mbox: (($i>($i>$o))>(($i>$o)>($i>$o))))). 0.47/0.68 thf(tp_mcountersatisfiable,type,(mcountersatisfiable: (($i>$o)>$o))). 0.47/0.68 thf(tp_mdia,type,(mdia: (($i>($i>$o))>(($i>$o)>($i>$o))))). 0.47/0.68 thf(tp_meq_ind,type,(meq_ind: (mu>(mu>($i>$o))))). 0.47/0.68 thf(tp_meq_prop,type,(meq_prop: (($i>$o)>(($i>$o)>($i>$o))))). 0.47/0.68 thf(tp_mequiv,type,(mequiv: (($i>$o)>(($i>$o)>($i>$o))))). 0.47/0.68 thf(tp_meuclidean,type,(meuclidean: (($i>($i>$o))>$o))). 0.47/0.68 thf(tp_mexists_ind,type,(mexists_ind: ((mu>($i>$o))>($i>$o)))). 0.47/0.68 thf(tp_mexists_prop,type,(mexists_prop: ((($i>$o)>($i>$o))>($i>$o)))). 0.47/0.68 thf(tp_mfalse,type,(mfalse: ($i>$o))). 0.47/0.68 thf(tp_mforall_ind,type,(mforall_ind: ((mu>($i>$o))>($i>$o)))). 0.47/0.68 thf(tp_mforall_prop,type,(mforall_prop: ((($i>$o)>($i>$o))>($i>$o)))). 0.47/0.68 thf(tp_mfunctional,type,(mfunctional: (($i>($i>$o))>$o))). 0.47/0.68 thf(tp_mimplied,type,(mimplied: (($i>$o)>(($i>$o)>($i>$o))))). 0.47/0.68 thf(tp_mimplies,type,(mimplies: (($i>$o)>(($i>$o)>($i>$o))))). 0.47/0.68 thf(tp_minvalid,type,(minvalid: (($i>$o)>$o))). 0.47/0.68 thf(tp_mnot,type,(mnot: (($i>$o)>($i>$o)))). 0.47/0.68 thf(tp_mor,type,(mor: (($i>$o)>(($i>$o)>($i>$o))))). 0.47/0.68 thf(tp_mpartially_functional,type,(mpartially_functional: (($i>($i>$o))>$o))). 0.47/0.68 thf(tp_mreflexive,type,(mreflexive: (($i>($i>$o))>$o))). 0.47/0.68 thf(tp_msatisfiable,type,(msatisfiable: (($i>$o)>$o))). 0.47/0.68 thf(tp_mserial,type,(mserial: (($i>($i>$o))>$o))). 0.47/0.68 thf(tp_msymmetric,type,(msymmetric: (($i>($i>$o))>$o))). 0.47/0.68 thf(tp_mtransitive,type,(mtransitive: (($i>($i>$o))>$o))). 0.47/0.68 thf(tp_mtrue,type,(mtrue: ($i>$o))). 0.47/0.68 thf(tp_mvalid,type,(mvalid: (($i>$o)>$o))). 0.47/0.68 thf(tp_mweakly_connected,type,(mweakly_connected: (($i>($i>$o))>$o))). 0.47/0.68 thf(tp_mweakly_dense,type,(mweakly_dense: (($i>($i>$o))>$o))). 0.47/0.68 thf(tp_mweakly_directed,type,(mweakly_directed: (($i>($i>$o))>$o))). 0.47/0.68 thf(tp_mxor,type,(mxor: (($i>$o)>(($i>$o)>($i>$o))))). 0.47/0.68 thf(tp_sK1_R,type,(sK1_R: ($i>($i>$o)))). 0.47/0.68 thf(tp_sK2_SX0,type,(sK2_SX0: $i)). 0.47/0.68 thf(tp_sK3_SY6,type,(sK3_SY6: $i)). 0.47/0.68 thf(tp_sK4_SY8,type,(sK4_SY8: $i)). 0.47/0.68 thf(mand,definition,(mand = (^[Phi:($i>$o),Psi:($i>$o)]: (mnot@((mor@(mnot@Phi))@(mnot@Psi))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mand)). 0.47/0.68 thf(mbox,definition,(mbox = (^[R:($i>($i>$o)),Phi:($i>$o),W:$i]: (![V:$i]: ((~ ((R@W)@V)) | (Phi@V))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mbox)). 0.47/0.68 thf(mcountersatisfiable,definition,(mcountersatisfiable = (^[Phi:($i>$o)]: (?[W:$i]: (~ (Phi@W))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mcountersatisfiable)). 0.47/0.68 thf(mdia,definition,(mdia = (^[R:($i>($i>$o)),Phi:($i>$o)]: (mnot@((mbox@R)@(mnot@Phi))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mdia)). 0.47/0.68 thf(meq_ind,definition,(meq_ind = (^[X:mu,Y:mu,W:$i]: (X = Y))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',meq_ind)). 0.47/0.68 thf(meq_prop,definition,(meq_prop = (^[X:($i>$o),Y:($i>$o),W:$i]: ((X@W) = (Y@W)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',meq_prop)). 0.47/0.68 thf(mequiv,definition,(mequiv = (^[Phi:($i>$o),Psi:($i>$o)]: ((mand@((mimplies@Phi)@Psi))@((mimplies@Psi)@Phi)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mequiv)). 0.47/0.68 thf(meuclidean,definition,(meuclidean = (^[R:($i>($i>$o))]: (![S:$i,T:$i,U:$i]: ((((R@S)@T) & ((R@S)@U)) => ((R@T)@U))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',meuclidean)). 0.47/0.68 thf(mexists_ind,definition,(mexists_ind = (^[Phi:(mu>($i>$o))]: (mnot@(mforall_ind@(^[X:mu]: (mnot@(Phi@X))))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mexists_ind)). 0.47/0.68 thf(mexists_prop,definition,(mexists_prop = (^[Phi:(($i>$o)>($i>$o))]: (mnot@(mforall_prop@(^[P:($i>$o)]: (mnot@(Phi@P))))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mexists_prop)). 0.47/0.68 thf(mfalse,definition,(mfalse = (mnot@mtrue)),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mfalse)). 0.47/0.68 thf(mforall_ind,definition,(mforall_ind = (^[Phi:(mu>($i>$o)),W:$i]: (![X:mu]: ((Phi@X)@W)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mforall_ind)). 0.47/0.68 thf(mforall_prop,definition,(mforall_prop = (^[Phi:(($i>$o)>($i>$o)),W:$i]: (![P:($i>$o)]: ((Phi@P)@W)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mforall_prop)). 0.47/0.68 thf(mfunctional,definition,(mfunctional = (^[R:($i>($i>$o))]: (![S:$i]: (?[T:$i]: (((R@S)@T) & (![U:$i]: (((R@S)@U) => (T = U)))))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mfunctional)). 0.47/0.68 thf(mimplied,definition,(mimplied = (^[Phi:($i>$o),Psi:($i>$o)]: ((mor@(mnot@Psi))@Phi))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mimplied)). 0.47/0.68 thf(mimplies,definition,(mimplies = (^[Phi:($i>$o),Psi:($i>$o)]: ((mor@(mnot@Phi))@Psi))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mimplies)). 0.47/0.68 thf(minvalid,definition,(minvalid = (^[Phi:($i>$o)]: (![W:$i]: (~ (Phi@W))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',minvalid)). 0.47/0.68 thf(mnot,definition,(mnot = (^[Phi:($i>$o),W:$i]: (~ (Phi@W)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mnot)). 0.47/0.68 thf(mor,definition,(mor = (^[Phi:($i>$o),Psi:($i>$o),W:$i]: ((Phi@W) | (Psi@W)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mor)). 0.47/0.68 thf(mpartially_functional,definition,(mpartially_functional = (^[R:($i>($i>$o))]: (![S:$i,T:$i,U:$i]: ((((R@S)@T) & ((R@S)@U)) => (T = U))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mpartially_functional)). 0.47/0.68 thf(mreflexive,definition,(mreflexive = (^[R:($i>($i>$o))]: (![S:$i]: ((R@S)@S)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mreflexive)). 0.47/0.68 thf(msatisfiable,definition,(msatisfiable = (^[Phi:($i>$o)]: (?[W:$i]: (Phi@W)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',msatisfiable)). 0.47/0.68 thf(mserial,definition,(mserial = (^[R:($i>($i>$o))]: (![S:$i]: (?[T:$i]: ((R@S)@T))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mserial)). 0.47/0.68 thf(msymmetric,definition,(msymmetric = (^[R:($i>($i>$o))]: (![S:$i,T:$i]: (((R@S)@T) => ((R@T)@S))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',msymmetric)). 0.47/0.68 thf(mtransitive,definition,(mtransitive = (^[R:($i>($i>$o))]: (![S:$i,T:$i,U:$i]: ((((R@S)@T) & ((R@T)@U)) => ((R@S)@U))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mtransitive)). 0.47/0.68 thf(mtrue,definition,(mtrue = (^[W:$i]: $true)),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mtrue)). 0.47/0.68 thf(mvalid,definition,(mvalid = (^[Phi:($i>$o)]: (![W:$i]: (Phi@W)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mvalid)). 0.47/0.68 thf(mweakly_connected,definition,(mweakly_connected = (^[R:($i>($i>$o))]: (![S:$i,T:$i,U:$i]: ((((R@S)@T) & ((R@S)@U)) => ((((R@T)@U) | (T = U)) | ((R@U)@T)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mweakly_connected)). 0.47/0.68 thf(mweakly_dense,definition,(mweakly_dense = (^[R:($i>($i>$o))]: (![S:$i,T:$i,U:$i]: (((R@S)@T) => (?[U:$i]: (((R@S)@U) & ((R@U)@T))))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mweakly_dense)). 0.47/0.68 thf(mweakly_directed,definition,(mweakly_directed = (^[R:($i>($i>$o))]: (![S:$i,T:$i,U:$i]: ((((R@S)@T) & ((R@S)@U)) => (?[V:$i]: (((R@T)@V) & ((R@U)@V))))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mweakly_directed)). 0.47/0.68 thf(mxor,definition,(mxor = (^[Phi:($i>$o),Psi:($i>$o)]: (mnot@((mequiv@Phi)@Psi)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mxor)). 0.47/0.68 thf(1,conjecture,(![R:($i>($i>$o))]: ((mpartially_functional@R) <= (mvalid@(mforall_prop@(^[A:($i>$o)]: ((mimplies@((mdia@R)@A))@((mbox@R)@A))))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj)). 0.47/0.68 thf(2,negated_conjecture,(((![R:($i>($i>$o))]: ((mpartially_functional@R) <= (mvalid@(mforall_prop@(^[A:($i>$o)]: ((mimplies@((mdia@R)@A))@((mbox@R)@A)))))))=$false)),inference(negate_conjecture,[status(cth)],[1])). 0.47/0.68 thf(3,plain,((((mpartially_functional@sK1_R) <= (mvalid@(mforall_prop@(^[SY0:($i>$o)]: ((mimplies@((mdia@sK1_R)@SY0))@((mbox@sK1_R)@SY0))))))=$false)),inference(extcnf_forall_neg,[status(esa)],[2])). 0.47/0.68 thf(4,plain,(((~ ((mpartially_functional@sK1_R) <= (mvalid@(mforall_prop@(^[SY0:($i>$o)]: ((mimplies@((mdia@sK1_R)@SY0))@((mbox@sK1_R)@SY0)))))))=$true)),inference(polarity_switch,[status(thm)],[3])). 0.47/0.68 thf(5,plain,((((mvalid@(mforall_prop@(^[SY0:($i>$o)]: ((mimplies@((mdia@sK1_R)@SY0))@((mbox@sK1_R)@SY0))))) & (~ (mpartially_functional@sK1_R)))=$true)),inference(extcnf_combined,[status(esa)],[4])). 0.47/0.68 thf(6,plain,((((mvalid@(mforall_prop@(^[SY0:($i>$o)]: ((mimplies@((mdia@sK1_R)@SY0))@((mbox@sK1_R)@SY0))))) & (~ (mpartially_functional@sK1_R)))=$true)),inference(copy,[status(thm)],[5])). 0.47/0.68 thf(7,plain,(((~ ((~ (![SX0:$i,SX1:($i>$o)]: ((~ (~ (![SX2:$i]: ((~ ((sK1_R@SX0)@SX2)) | (~ (SX1@SX2)))))) | (![SX2:$i]: ((~ ((sK1_R@SX0)@SX2)) | (SX1@SX2)))))) | (~ (~ (![SX0:$i,SX1:$i,SX2:$i]: ((~ (~ ((~ ((sK1_R@SX0)@SX1)) | (~ ((sK1_R@SX0)@SX2))))) | (SX1 = SX2)))))))=$true)),inference(unfold_def,[status(thm)],[6,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor])). 0.47/0.68 thf(8,plain,((((~ (![SX0:$i,SX1:($i>$o)]: ((~ (~ (![SX2:$i]: ((~ ((sK1_R@SX0)@SX2)) | (~ (SX1@SX2)))))) | (![SX2:$i]: ((~ ((sK1_R@SX0)@SX2)) | (SX1@SX2)))))) | (~ (~ (![SX0:$i,SX1:$i,SX2:$i]: ((~ (~ ((~ ((sK1_R@SX0)@SX1)) | (~ ((sK1_R@SX0)@SX2))))) | (SX1 = SX2))))))=$false)),inference(extcnf_not_pos,[status(thm)],[7])). 0.47/0.68 thf(9,plain,(((~ (![SX0:$i,SX1:($i>$o)]: ((~ (~ (![SX2:$i]: ((~ ((sK1_R@SX0)@SX2)) | (~ (SX1@SX2)))))) | (![SX2:$i]: ((~ ((sK1_R@SX0)@SX2)) | (SX1@SX2))))))=$false)),inference(extcnf_or_neg,[status(thm)],[8])). 0.47/0.68 thf(10,plain,(((~ (~ (![SX0:$i,SX1:$i,SX2:$i]: ((~ (~ ((~ ((sK1_R@SX0)@SX1)) | (~ ((sK1_R@SX0)@SX2))))) | (SX1 = SX2)))))=$false)),inference(extcnf_or_neg,[status(thm)],[8])). 0.47/0.68 thf(11,plain,(((![SX0:$i,SX1:($i>$o)]: ((~ (~ (![SX2:$i]: ((~ ((sK1_R@SX0)@SX2)) | (~ (SX1@SX2)))))) | (![SX2:$i]: ((~ ((sK1_R@SX0)@SX2)) | (SX1@SX2)))))=$true)),inference(extcnf_not_neg,[status(thm)],[9])). 0.47/0.68 thf(12,plain,(((~ (![SX0:$i,SX1:$i,SX2:$i]: ((~ (~ ((~ ((sK1_R@SX0)@SX1)) | (~ ((sK1_R@SX0)@SX2))))) | (SX1 = SX2))))=$true)),inference(extcnf_not_neg,[status(thm)],[10])). 0.47/0.68 thf(13,plain,(![SV1:$i]: (((![SY1:($i>$o)]: ((~ (~ (![SY2:$i]: ((~ ((sK1_R@SV1)@SY2)) | (~ (SY1@SY2)))))) | (![SY3:$i]: ((~ ((sK1_R@SV1)@SY3)) | (SY1@SY3)))))=$true))),inference(extcnf_forall_pos,[status(thm)],[11])). 0.47/0.68 thf(14,plain,(((![SX0:$i,SX1:$i,SX2:$i]: ((~ (~ ((~ ((sK1_R@SX0)@SX1)) | (~ ((sK1_R@SX0)@SX2))))) | (SX1 = SX2)))=$false)),inference(extcnf_not_pos,[status(thm)],[12])). 0.47/0.68 thf(15,plain,(![SV2:($i>$o),SV1:$i]: ((((~ (~ (![SY4:$i]: ((~ ((sK1_R@SV1)@SY4)) | (~ (SV2@SY4)))))) | (![SY5:$i]: ((~ ((sK1_R@SV1)@SY5)) | (SV2@SY5))))=$true))),inference(extcnf_forall_pos,[status(thm)],[13])). 0.47/0.68 thf(16,plain,(((![SY6:$i,SY7:$i]: ((~ (~ ((~ ((sK1_R@sK2_SX0)@SY6)) | (~ ((sK1_R@sK2_SX0)@SY7))))) | (SY6 = SY7)))=$false)),inference(extcnf_forall_neg,[status(esa)],[14])). 0.47/0.68 thf(17,plain,(![SV2:($i>$o),SV1:$i]: (((~ (~ (![SY4:$i]: ((~ ((sK1_R@SV1)@SY4)) | (~ (SV2@SY4))))))=$true) | ((![SY5:$i]: ((~ ((sK1_R@SV1)@SY5)) | (SV2@SY5)))=$true))),inference(extcnf_or_pos,[status(thm)],[15])). 0.47/0.68 thf(18,plain,(((![SY8:$i]: ((~ (~ ((~ ((sK1_R@sK2_SX0)@sK3_SY6)) | (~ ((sK1_R@sK2_SX0)@SY8))))) | (sK3_SY6 = SY8)))=$false)),inference(extcnf_forall_neg,[status(esa)],[16])). 0.47/0.68 thf(19,plain,(![SV2:($i>$o),SV1:$i]: (((~ (![SY4:$i]: ((~ ((sK1_R@SV1)@SY4)) | (~ (SV2@SY4)))))=$false) | ((![SY5:$i]: ((~ ((sK1_R@SV1)@SY5)) | (SV2@SY5)))=$true))),inference(extcnf_not_pos,[status(thm)],[17])). 0.47/0.68 thf(20,plain,((((~ (~ ((~ ((sK1_R@sK2_SX0)@sK3_SY6)) | (~ ((sK1_R@sK2_SX0)@sK4_SY8))))) | (sK3_SY6 = sK4_SY8))=$false)),inference(extcnf_forall_neg,[status(esa)],[18])). 0.47/0.68 thf(21,plain,(![SV2:($i>$o),SV1:$i]: (((![SY4:$i]: ((~ ((sK1_R@SV1)@SY4)) | (~ (SV2@SY4))))=$true) | ((![SY5:$i]: ((~ ((sK1_R@SV1)@SY5)) | (SV2@SY5)))=$true))),inference(extcnf_not_neg,[status(thm)],[19])). 0.47/0.68 thf(22,plain,(((~ (~ ((~ ((sK1_R@sK2_SX0)@sK3_SY6)) | (~ ((sK1_R@sK2_SX0)@sK4_SY8)))))=$false)),inference(extcnf_or_neg,[status(thm)],[20])). 0.47/0.68 thf(23,plain,(((sK3_SY6 = sK4_SY8)=$false)),inference(extcnf_or_neg,[status(thm)],[20])). 0.47/0.68 thf(24,plain,(![SV2:($i>$o),SV3:$i,SV1:$i]: ((((~ ((sK1_R@SV1)@SV3)) | (~ (SV2@SV3)))=$true) | ((![SY5:$i]: ((~ ((sK1_R@SV1)@SY5)) | (SV2@SY5)))=$true))),inference(extcnf_forall_pos,[status(thm)],[21])). 0.47/0.68 thf(25,plain,(((~ ((~ ((sK1_R@sK2_SX0)@sK3_SY6)) | (~ ((sK1_R@sK2_SX0)@sK4_SY8))))=$true)),inference(extcnf_not_neg,[status(thm)],[22])). 0.47/0.68 thf(26,plain,(![SV2:($i>$o),SV3:$i,SV1:$i]: (((~ ((sK1_R@SV1)@SV3))=$true) | ((~ (SV2@SV3))=$true) | ((![SY5:$i]: ((~ ((sK1_R@SV1)@SY5)) | (SV2@SY5)))=$true))),inference(extcnf_or_pos,[status(thm)],[24])). 0.47/0.68 thf(27,plain,((((~ ((sK1_R@sK2_SX0)@sK3_SY6)) | (~ ((sK1_R@sK2_SX0)@sK4_SY8)))=$false)),inference(extcnf_not_pos,[status(thm)],[25])). 0.47/0.68 thf(28,plain,(![SV2:($i>$o),SV3:$i,SV1:$i]: ((((sK1_R@SV1)@SV3)=$false) | ((~ (SV2@SV3))=$true) | ((![SY5:$i]: ((~ ((sK1_R@SV1)@SY5)) | (SV2@SY5)))=$true))),inference(extcnf_not_pos,[status(thm)],[26])). 0.47/0.68 thf(29,plain,(((~ ((sK1_R@sK2_SX0)@sK3_SY6))=$false)),inference(extcnf_or_neg,[status(thm)],[27])). 0.47/0.68 thf(30,plain,(((~ ((sK1_R@sK2_SX0)@sK4_SY8))=$false)),inference(extcnf_or_neg,[status(thm)],[27])). 0.47/0.68 thf(31,plain,(![SV1:$i,SV3:$i,SV2:($i>$o)]: (((SV2@SV3)=$false) | (((sK1_R@SV1)@SV3)=$false) | ((![SY5:$i]: ((~ ((sK1_R@SV1)@SY5)) | (SV2@SY5)))=$true))),inference(extcnf_not_pos,[status(thm)],[28])). 0.47/0.68 thf(32,plain,((((sK1_R@sK2_SX0)@sK3_SY6)=$true)),inference(extcnf_not_neg,[status(thm)],[29])). 0.47/0.68 thf(33,plain,((((sK1_R@sK2_SX0)@sK4_SY8)=$true)),inference(extcnf_not_neg,[status(thm)],[30])). 0.47/0.68 thf(34,plain,(![SV3:$i,SV2:($i>$o),SV4:$i,SV1:$i]: ((((~ ((sK1_R@SV1)@SV4)) | (SV2@SV4))=$true) | (((sK1_R@SV1)@SV3)=$false) | ((SV2@SV3)=$false))),inference(extcnf_forall_pos,[status(thm)],[31])). 0.47/0.68 thf(35,plain,(![SV3:$i,SV2:($i>$o),SV4:$i,SV1:$i]: (((~ ((sK1_R@SV1)@SV4))=$true) | ((SV2@SV4)=$true) | (((sK1_R@SV1)@SV3)=$false) | ((SV2@SV3)=$false))),inference(extcnf_or_pos,[status(thm)],[34])). 0.47/0.68 thf(36,plain,(![SV3:$i,SV2:($i>$o),SV4:$i,SV1:$i]: ((((sK1_R@SV1)@SV4)=$false) | ((SV2@SV4)=$true) | (((sK1_R@SV1)@SV3)=$false) | ((SV2@SV3)=$false))),inference(extcnf_not_pos,[status(thm)],[35])). 0.47/0.68 thf(37,plain,(![SV3:$i,SV4:$i,SV1:$i]: ((((sK1_R@SV1)@SV4)=$false) | ((SV4 = SV3)=$true) | (((sK1_R@SV1)@SV3)=$false) | ((SV3 = SV3)=$false))),inference(replace_leibnizEQ,[status(thm)],[36:[bind(SV2, $thf(^[SV5:$i]: (SV5 = SV3)))]])). 0.47/0.68 thf(38,plain,(![SV3:$i,SV4:$i,SV1:$i]: ((((sK1_R@SV1)@SV4)=$false) | ((SV4 = SV3)=$true) | (((sK1_R@SV1)@SV3)=$false))),inference(sim,[status(thm)],[37])). 0.47/0.68 thf(41,plain,(![SV3:$i,SV7:($i>$o),SV4:$i,SV1:$i]: ((((sK1_R@SV1)@SV4)=$false) | ((~ (SV7@SV4))=$true) | (((sK1_R@SV1)@SV3)=$false) | ((~ (SV7@SV3))=$false))),inference(prim_subst,[status(thm)],[36:[bind(SV2,$thf(^[SV6:$i]: (~ (SV7@SV6))))]])). 0.47/0.68 thf(42,plain,(![SV3:$i,SV4:$i,SV1:$i]: ((((sK1_R@SV1)@SV4)=$false) | ((SV4 = sK3_SY6)=$true) | (((sK1_R@SV1)@SV3)=$false) | ((SV3 = sK3_SY6)=$false))),inference(prim_subst,[status(thm)],[36:[bind(SV2,$thf(^[SV10:$i]: (SV10 = sK3_SY6)))]])). 0.47/0.68 thf(43,plain,(![SV3:$i,SV4:$i,SV1:$i]: ((((sK1_R@SV1)@SV4)=$false) | ((SV4 = sK2_SX0)=$true) | (((sK1_R@SV1)@SV3)=$false) | ((SV3 = sK2_SX0)=$false))),inference(prim_subst,[status(thm)],[36:[bind(SV2,$thf(^[SV11:$i]: (SV11 = sK2_SX0)))]])). 0.47/0.68 thf(44,plain,(![SV3:$i,SV4:$i,SV1:$i]: ((((sK1_R@SV1)@SV4)=$false) | ((SV4 = sK4_SY8)=$true) | (((sK1_R@SV1)@SV3)=$false) | ((SV3 = sK4_SY8)=$false))),inference(prim_subst,[status(thm)],[36:[bind(SV2,$thf(^[SV12:$i]: (SV12 = sK4_SY8)))]])). 0.47/0.68 thf(45,plain,(![SV3:$i,SV1:$i,SV4:$i,SV7:($i>$o)]: (((SV7@SV4)=$false) | (((sK1_R@SV1)@SV4)=$false) | (((sK1_R@SV1)@SV3)=$false) | ((~ (SV7@SV3))=$false))),inference(extcnf_not_pos,[status(thm)],[41])). 0.47/0.68 thf(46,plain,(![SV4:$i,SV1:$i,SV3:$i,SV7:($i>$o)]: (((SV7@SV3)=$true) | (((sK1_R@SV1)@SV3)=$false) | (((sK1_R@SV1)@SV4)=$false) | ((SV7@SV4)=$false))),inference(extcnf_not_neg,[status(thm)],[45])). 0.47/0.68 thf(47,plain,(![SV4:$i,SV1:$i]: ((((sK1_R@SV1)@sK3_SY6)=$false) | ((SV4 = sK3_SY6)=$true) | (((sK1_R@SV1)@SV4)=$false))),inference(extuni,[status(esa)],[42:[bind(SV3,$thf(sK3_SY6))]])). 0.47/0.68 thf(48,plain,(![SV4:$i,SV1:$i]: ((((sK1_R@SV1)@sK2_SX0)=$false) | ((SV4 = sK2_SX0)=$true) | (((sK1_R@SV1)@SV4)=$false))),inference(extuni,[status(esa)],[43:[bind(SV3,$thf(sK2_SX0))]])). 0.47/0.68 thf(49,plain,(![SV4:$i,SV1:$i]: ((((sK1_R@SV1)@sK4_SY8)=$false) | ((SV4 = sK4_SY8)=$true) | (((sK1_R@SV1)@SV4)=$false))),inference(extuni,[status(esa)],[44:[bind(SV3,$thf(sK4_SY8))]])). 0.47/0.68 thf(50,plain,((($false)=$true)),inference(fo_atp_e,[status(thm)],[23,49,48,47,46,38,36,33,32])). 0.47/0.68 thf(51,plain,($false),inference(solved_all_splits,[solved_all_splits(join,[])],[50])). 0.47/0.68 % SZS output end CNFRefutation 0.47/0.68 0.47/0.68 %**** End of derivation protocol **** 0.47/0.68 %**** no. of clauses in derivation: 49 **** 0.47/0.68 %**** clause counter: 50 **** 0.47/0.68 0.47/0.68 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:0,ps:3,u:6,ude:false,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:50,loop_count:0,foatp_calls:2,translation:fof_full) 0.47/0.68 EOF